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11301332300 = 22521812932131
BaseRepresentation
bin10101000011001110…
…01010010101001100
31002011121110011102222
422201213022111030
5141121120113200
65105230434512
7550025511446
oct124147122514
932147404388
1011301332300
11487a342255
122234962a38
1310b14a099b
14792d0d496
15462262d85
hex2a19ca54c

11301332300 has 72 divisors (see below), whose sum is σ = 24755155152. Its totient is φ = 4478112000.

The previous prime is 11301332261. The next prime is 11301332327. The reversal of 11301332300 is 323310311.

It is a super-2 number, since 2×113013323002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5302235 + ... + 5304365.

Almost surely, 211301332300 is an apocalyptic number.

11301332300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11301332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12377577576).

11301332300 is an abundant number, since it is smaller than the sum of its proper divisors (13453822852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11301332300 is a wasteful number, since it uses less digits than its factorization.

11301332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 11301332300 its reverse (323310311), we get a palindrome (11624642611).

The spelling of 11301332300 in words is "eleven billion, three hundred one million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 293 362 586 724 905 1172 1465 1810 2131 2930 3620 4262 4525 5860 7325 8524 9050 10655 14650 18100 21310 29300 42620 53033 53275 106066 106550 212132 213100 265165 385711 530330 624383 771422 1060660 1248766 1325825 1542844 1928555 2497532 2651650 3121915 3857110 5303300 6243830 7714220 9642775 12487660 15609575 19285550 31219150 38571100 62438300 113013323 226026646 452053292 565066615 1130133230 2260266460 2825333075 5650666150 11301332300